2261614404 has 144 divisors (see below), whose sum is σ = 6299216000. Its totient is φ = 631229760.

The previous prime is 2261614361. The next prime is 2261614409. The reversal of 2261614404 is 4044161622.

It is a happy number.

It is a super-2 number, since 2×2261614404² = 10229799424760550432, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2261614409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20748702 + ... + 20748810.

Almost surely, 2^2261614404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261614404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149608000).

2261614404 is an abundant number, since it is smaller than the sum of its proper divisors (4037601596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2261614404 is a wasteful number, since it uses less digits than its factorization.

2261614404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2261614404 is about 47556.4338864890. The cubic root of 2261614404 is about 1312.6215211927.

The spelling of 2261614404 in words is "two billion, two hundred sixty-one million, six hundred fourteen thousand, four hundred four".